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The supersymmetric extension of the Faddeev model
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
2004 (English)In: Nuclear Physics B, ISSN 0550-3213, Vol. 381, no 1-2, 65-76 p.Article in journal (Refereed) Published
Abstract [en]

We study the supersymmetric extension of the Faddeev model in four dimensions. The Faddeev model contains three-dimensional soliton solutions and we are interested in how these solitons are affected by supersymmetry. We consider both the N=1 and N=2 extensions and find that in neither case it is possible to supersymmetrize the model without adding additional bosonic terms. There are essentially two ways of constructing the supersymmetric theory, one that will lead to a model which allows for solitons and another that gives a model where solitons are excluded.

The N=2 model is studied since extending supersymmetry is the natural way of including topological charges in the algebra. A lower bound to the mass is obtained by computing the central charge. The result is that it is possible to have a nontrivial lower bound on the mass, this in principle allows for massive solitons.

Place, publisher, year, edition, pages
2004. Vol. 381, no 1-2, 65-76 p.
National Category
Subatomic Physics
URN: urn:nbn:se:uu:diva-92025DOI: 10.1016/j.nuclphysb.2004.01.012OAI: oai:DiVA.org:uu-92025DiVA: diva2:164961
Available from: 2004-09-06 Created: 2004-09-06 Last updated: 2012-02-08Bibliographically approved
In thesis
1. Aspects of Yang-Mills Theory: Solitons, Dualities and Spin Chains
Open this publication in new window or tab >>Aspects of Yang-Mills Theory: Solitons, Dualities and Spin Chains
2004 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

One of the still big problems in the Standard Model of particle physics is the problem of confinement. Quarks or other coloured particles have never been observed in isolation. Quarks are only observed in colour neutral bound states. The strong interactions are described using a Yang-Mills theory. These type of theories exhibits asymptotic freedom, i.e. the coupling is weak at high energies. This means that the theory is perturbative at high energies only. Understanding quark confinement requires knowledge of the non perturbative regime. One attempt has been to identify the proper order parameters for describing the low energy limit and then to write down effective actions in terms of these order parameters. We discuss one possible scenario for confinement and the effective models constructed with this as inspiration. Further we discuss solitons in these models and their properties.

Yang-Mills theory has also become important in the context of string theory. According to the AdS/CFT correspondence string theory in AdS5×S5 is dual to four dimensional Yang-Mills with four supersymmetries. The duality relate the non perturbative regime of one of the theories to the perturbative regime of the other. This makes it in general hard to test this conjecture. For a special type of solutions it is however possible to use a perturbative expansion in both theories. We discuss this type of solutions and in particular we discuss a method, the Bethe ansatz, to find the solutions on the gauge theory side.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2004. 87 p.
Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1104-232X ; 1002
Theoretical physics, Theoretical Physics, Field theory, String theory, Yang-Mills, Effective models, Supersymmetry, Solitons, Fermion number, Duality, AdS/CFT correspondence, Bethe ansatz, Teoretisk fysik
National Category
Physical Sciences
urn:nbn:se:uu:diva-4498 (URN)91-554-6017-8 (ISBN)
Public defence
2004-09-28, Å4001, Ångström laboratoriet, Lägerhyddsvägen 1, Uppsala, 13:15
Available from: 2004-09-06 Created: 2004-09-06Bibliographically approved

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Publisher's full texthttp://uk.arxiv.org/abs/hep-th/0310261

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